The axiomatic treatment of the computational complexity of partial recursive functions initiated by Blum is extended to relatively computable functions (as computed, for example, by Turing machines ...

Since the 1930s, the theory of computation has profoundly influenced philosophical thinking about topics such as the theory of the mind, the nature of mathematical knowledge and the prospect of ...

The difficulty of finding the ground-state properties of a large system of interacting electrons originates both from the exponential dimension of the underlying Hilbert space and from the fermionic ...